Lie algebra multiplicities

Type: Article

Publication Date: 1979-01-01

Citations: 31

DOI: https://doi.org/10.1090/s0002-9939-1979-0537078-x

Abstract

Exact formulas for root space multiplicities in Cartan matrix Lie algebras and their universal enveloping algebras are computed. We go on to determine the number of free generators of each degree of the radicals defining these algebras.

Locations

  • Proceedings of the American Mathematical Society - View - PDF

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